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Finding the Fourth Proportional to 615,278.40, 922,744.80 and 194,683.20

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Solution

The fourth proportional to 615,278.40, 922,744.80 and 194,683.20 is: 291,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,278.40 : 922,744.80 = 194,683.20 : x
  2. Step 2: Convert to fraction form
    615,278.40/922,744.80 = 194,683.20/x
  3. Step 3: Cross multiply
    615,278.40x = 922,744.80 × 194,683.20
  4. Step 4: Simplify right side
    615,278.40x = 179,642,910,447.36
  5. Step 5: Solve for x
    x = 179,642,910,447.36/615,278.40
  6. Step 6: Final answer
    x = 291,970.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.